Further Mathematics

Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi

I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

I am in SS 3. Teach me the difference between mass, force and weight from scratch, as if I

I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each

Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t

Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the

I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as

I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t

I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

Explain how the triangle of forces method finds a resultant, and compare it with the paral